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A key challenge in this area lies in the effective separation of textures from edges due to their perceptual similarity. To address these issues, we propose a novel color image decomposition model. The model integrates a vectorial total variation term with a vectorial weighted G-norm, where the weighting function operates as an edge indicator. For computing this weight, we introduce a vectorial total symmetric variation, which is a formulation that synthesizes image directional variations of all directions. An operator-splitting algorithm, enhanced with a restarting strategy, is developed to efficiently solve the resulting optimization problem. 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